Wang Jing, Zhu Shijun, Wang Haiyan, Cai Yangjian, Li Zhenhua
Opt Express. 2016 May 30;24(11):11626-39. doi: 10.1364/OE.24.011626.
Recently, we introduced a new class of radially polarized cosine-Gaussian correlated Schell-model (CGCSM) beams of rectangular symmetry based on the partially coherent electromagnetic theory [Opt. Express23, 33099 (2015)]. In this paper, we extend the work to study the second-order statistics such as the average intensity, the spectral degree of coherence, the spectral degree of polarization and the state of polarization in anisotropic turbulence based on an extended von Karman power spectrum with a non-Kolmogorov power law α and an effective anisotropic parameter. Analytical formulas for the cross-spectral density matrix elements of a radially polarized CGCSM beam in anisotropic turbulence are derived. It is found that the second-order statistics are greatly affected by the source correlation function, and the change in the turbulent statistics induces relatively small effect. The significant effect of anisotropic turbulence on the beam parameters mainly appears nearα=3.1, and decreases with the increase of the anisotropic parameter. Furthermore, the polarization state exhibits self-splitting property and each beamlet evolves into a radially polarized structure in the far field. Our work enriches the classical coherence theory and may be important for free-space optical communications.
最近，我们基于部分相干电磁理论[《光学快报》23, 33099 (2015)]引入了一类新的具有矩形对称性的径向偏振余弦 - 高斯相关谢尔模型（CGCSM）光束。在本文中，我们扩展了这项工作，基于具有非柯尔莫哥洛夫幂律α和有效各向异性参数的扩展冯·卡门功率谱，研究各向异性湍流中的二阶统计量，如平均强度、光谱相干度、光谱偏振度和偏振态。推导了径向偏振CGCSM光束在各向异性湍流中的交叉谱密度矩阵元的解析公式。研究发现，二阶统计量受源相关函数的影响很大，而湍流统计量的变化产生的影响相对较小。各向异性湍流对光束参数的显著影响主要出现在α = 3.1附近，并随着各向异性参数的增加而减小。此外，偏振态表现出自分裂特性，并且每个子光束在远场中演变成径向偏振结构。我们的工作丰富了经典相干理论，可能对自由空间光通信具有重要意义。
